36525856606272 has 1344 divisors, whose sum is σ = 127001703628800. Its totient is φ = 10299405312000.

The previous prime is 36525856606259. The next prime is 36525856606279. The reversal of 36525856606272 is 27260665852563.

36525856606272 is a `hidden beast` number, since 3 + 6 + 5 + 2 + 5 + 8 + 566 + 0 + 62 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (36525856606279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67515446322 + ... + 67515446862.

It is an arithmetic number, because the mean of its divisors is an integer number (94495315200).

Almost surely, 2^{36525856606272} is an apocalyptic number.

36525856606272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36525856606272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63500851814400).

36525856606272 is an abundant number, since it is smaller than the sum of its proper divisors (90475847022528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36525856606272 is a wasteful number, since it uses less digits than its factorization.

36525856606272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 36525856606272 in words is "thirty-six trillion, five hundred twenty-five billion, eight hundred fifty-six million, six hundred six thousand, two hundred seventy-two".